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Finding the Third Proportional to 163,714 and 252,803

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Solution

The third proportional to 163,714 and 252,803 is: 390,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,714 : 252,803 = 252,803 : x
  2. Step 2: Convert to fraction form
    163,714/252,803 = 252,803/x
  3. Step 3: Cross multiply
    163,714x = 252,803 × 252,803
  4. Step 4: Simplify right side
    163,714x = 63,909,356,809
  5. Step 5: Solve for x
    x = 63,909,356,809/163,714
  6. Step 6: Final answer
    x = 390,371.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.